Step-by-step explanation:
Given
f(x) = -5x - 1
and
g(x) = 2x + 2
Now
f(3) = - 5 * 3 - 1
= -15 -1
= -16
Also
g(-4) = 2 * (-4) + 2
= - 8 + 2
= - 6
8 to 16
2 to 4
13 to 26
5 to 10
6 to 12
Answer:
1
Step-by-step explanation:
In order to calculate the volume of a cylinder, we can use the following formula:
Where r is the base radius and h is the height.
If the circumference is 8, we have:
Now, calculating the volume, we have:
So the correct option is the second one.
Answer:
t=+4.06
Step-by-step explanation:
when the baseball hits the ground, the height will be 0.
h=0we are given that h=−16t2+64t+4.
this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.
since time cannot be negative, only the positive value can be taken.
this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.
